130213122120 has 192 divisors, whose sum is σ = 432579813120. Its totient is φ = 33954588672.

The previous prime is 130213122101. The next prime is 130213122173. The reversal of 130213122120 is 21221312031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130213122093 and 130213122102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24142144 + ... + 24147536.

It is an arithmetic number, because the mean of its divisors is an integer number (2253019860).

Almost surely, 2^130213122120 is an apocalyptic number.

130213122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130213122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216289906560).

130213122120 is an abundant number, since it is smaller than the sum of its proper divisors (302366691000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130213122120 is a wasteful number, since it uses less digits than its factorization.

130213122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6884 (or 6877 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 130213122120 its reverse (21221312031), we get a palindrome (151434434151).

The spelling of 130213122120 in words is "one hundred thirty billion, two hundred thirteen million, one hundred twenty-two thousand, one hundred twenty".